Not your familiar thermodynamic process

Classical Mechanics Level 3

The molar heat capacity for a thermodynamic process involving an ideal gas varies as

$C = C_V + \alpha V$

where $C_V$ denotes the molar heat capacity at constant volume , $V$ denotes the volume of the ideal gas and $\alpha$ is a positive constant.

Select the appropriate equation of this process in $V-T$ (volume-temperature) variable.

Note: In the options given $k$ is an arbitrary constant and $R$ denotes the universal gas constant.

T e^{{R}/{\alpha V}} = k

T V^{-{R}/{\alpha V}} = k

T e^{-{R}/{\alpha V}} = k

T V^{{R}/{\alpha V}} = k

1 solution

Spandan Senapati
Feb 13, 2017

Using dQ=nCdT=nC(v)dT+pdV.and form the required differential.